TSTP Solution File: SYO887_22 by Duper---1.0
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%------------------------------------------------------------------------------
% File : Duper---1.0
% Problem : SYO887_22 : TPTP v8.2.0. Released v8.2.0.
% Transfm : none
% Format : tptp:raw
% Command : duper %s
% Computer : n023.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Fri Sep 1 04:23:53 EDT 2023
% Result : Theorem 3.52s 3.74s
% Output : Proof 3.52s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : SYO887_22 : TPTP v8.2.0. Released v8.2.0.
% 0.11/0.14 % Command : duper %s
% 0.14/0.35 % Computer : n023.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Sat Aug 26 06:58:11 EDT 2023
% 0.14/0.35 % CPUTime :
% 3.52/3.74 SZS status Theorem for theBenchmark.p
% 3.52/3.74 SZS output start Proof for theBenchmark.p
% 3.52/3.74 Clause #0 (by assumption #[]): Eq (∀ (W : «$ki_world»), «$ki_accessible» W W) True
% 3.52/3.74 Clause #4 (by assumption #[]): Eq
% 3.52/3.74 (Not
% 3.52/3.74 ((∀ (W : «$ki_world»),
% 3.52/3.74 «$ki_accessible» «$ki_local_world» W → Exists fun X => And («$ki_exists_in_world_$i» W X) (f W X)) →
% 3.52/3.74 Exists fun X =>
% 3.52/3.74 And («$ki_exists_in_world_$i» «$ki_local_world» X)
% 3.52/3.74 (Exists fun W => And («$ki_accessible» «$ki_local_world» W) (f W X))))
% 3.52/3.74 True
% 3.52/3.74 Clause #5 (by clausification #[0]): ∀ (a : «$ki_world»), Eq («$ki_accessible» a a) True
% 3.52/3.74 Clause #22 (by clausification #[4]): Eq
% 3.52/3.74 ((∀ (W : «$ki_world»),
% 3.52/3.74 «$ki_accessible» «$ki_local_world» W → Exists fun X => And («$ki_exists_in_world_$i» W X) (f W X)) →
% 3.52/3.74 Exists fun X =>
% 3.52/3.74 And («$ki_exists_in_world_$i» «$ki_local_world» X)
% 3.52/3.74 (Exists fun W => And («$ki_accessible» «$ki_local_world» W) (f W X)))
% 3.52/3.74 False
% 3.52/3.74 Clause #23 (by clausification #[22]): Eq
% 3.52/3.74 (∀ (W : «$ki_world»),
% 3.52/3.74 «$ki_accessible» «$ki_local_world» W → Exists fun X => And («$ki_exists_in_world_$i» W X) (f W X))
% 3.52/3.74 True
% 3.52/3.74 Clause #24 (by clausification #[22]): Eq
% 3.52/3.74 (Exists fun X =>
% 3.52/3.74 And («$ki_exists_in_world_$i» «$ki_local_world» X)
% 3.52/3.74 (Exists fun W => And («$ki_accessible» «$ki_local_world» W) (f W X)))
% 3.52/3.74 False
% 3.52/3.74 Clause #25 (by clausification #[23]): ∀ (a : «$ki_world»),
% 3.52/3.74 Eq («$ki_accessible» «$ki_local_world» a → Exists fun X => And («$ki_exists_in_world_$i» a X) (f a X)) True
% 3.52/3.74 Clause #26 (by clausification #[25]): ∀ (a : «$ki_world»),
% 3.52/3.74 Or (Eq («$ki_accessible» «$ki_local_world» a) False)
% 3.52/3.74 (Eq (Exists fun X => And («$ki_exists_in_world_$i» a X) (f a X)) True)
% 3.52/3.74 Clause #27 (by clausification #[26]): ∀ (a : «$ki_world») (a_1 : Iota),
% 3.52/3.74 Or (Eq («$ki_accessible» «$ki_local_world» a) False)
% 3.52/3.74 (Eq (And («$ki_exists_in_world_$i» a (skS.0 1 a a_1)) (f a (skS.0 1 a a_1))) True)
% 3.52/3.74 Clause #28 (by clausification #[27]): ∀ (a : «$ki_world») (a_1 : Iota), Or (Eq («$ki_accessible» «$ki_local_world» a) False) (Eq (f a (skS.0 1 a a_1)) True)
% 3.52/3.74 Clause #29 (by clausification #[27]): ∀ (a : «$ki_world») (a_1 : Iota),
% 3.52/3.74 Or (Eq («$ki_accessible» «$ki_local_world» a) False) (Eq («$ki_exists_in_world_$i» a (skS.0 1 a a_1)) True)
% 3.52/3.74 Clause #30 (by superposition #[28, 5]): ∀ (a : Iota), Or (Eq (f «$ki_local_world» (skS.0 1 «$ki_local_world» a)) True) (Eq False True)
% 3.52/3.74 Clause #31 (by clausification #[30]): ∀ (a : Iota), Eq (f «$ki_local_world» (skS.0 1 «$ki_local_world» a)) True
% 3.52/3.74 Clause #32 (by superposition #[29, 5]): ∀ (a : Iota), Or (Eq («$ki_exists_in_world_$i» «$ki_local_world» (skS.0 1 «$ki_local_world» a)) True) (Eq False True)
% 3.52/3.74 Clause #33 (by clausification #[32]): ∀ (a : Iota), Eq («$ki_exists_in_world_$i» «$ki_local_world» (skS.0 1 «$ki_local_world» a)) True
% 3.52/3.74 Clause #37 (by clausification #[24]): ∀ (a : Iota),
% 3.52/3.74 Eq
% 3.52/3.74 (And («$ki_exists_in_world_$i» «$ki_local_world» a)
% 3.52/3.74 (Exists fun W => And («$ki_accessible» «$ki_local_world» W) (f W a)))
% 3.52/3.74 False
% 3.52/3.74 Clause #38 (by clausification #[37]): ∀ (a : Iota),
% 3.52/3.74 Or (Eq («$ki_exists_in_world_$i» «$ki_local_world» a) False)
% 3.52/3.74 (Eq (Exists fun W => And («$ki_accessible» «$ki_local_world» W) (f W a)) False)
% 3.52/3.74 Clause #39 (by clausification #[38]): ∀ (a : Iota) (a_1 : «$ki_world»),
% 3.52/3.74 Or (Eq («$ki_exists_in_world_$i» «$ki_local_world» a) False)
% 3.52/3.74 (Eq (And («$ki_accessible» «$ki_local_world» a_1) (f a_1 a)) False)
% 3.52/3.74 Clause #40 (by clausification #[39]): ∀ (a : Iota) (a_1 : «$ki_world»),
% 3.52/3.74 Or (Eq («$ki_exists_in_world_$i» «$ki_local_world» a) False)
% 3.52/3.74 (Or (Eq («$ki_accessible» «$ki_local_world» a_1) False) (Eq (f a_1 a) False))
% 3.52/3.74 Clause #41 (by superposition #[40, 33]): ∀ (a : «$ki_world») (a_1 : Iota),
% 3.52/3.74 Or (Eq («$ki_accessible» «$ki_local_world» a) False)
% 3.52/3.74 (Or (Eq (f a (skS.0 1 «$ki_local_world» a_1)) False) (Eq False True))
% 3.52/3.74 Clause #43 (by clausification #[41]): ∀ (a : «$ki_world») (a_1 : Iota),
% 3.52/3.74 Or (Eq («$ki_accessible» «$ki_local_world» a) False) (Eq (f a (skS.0 1 «$ki_local_world» a_1)) False)
% 3.52/3.74 Clause #44 (by superposition #[43, 5]): ∀ (a : Iota), Or (Eq (f «$ki_local_world» (skS.0 1 «$ki_local_world» a)) False) (Eq False True)
% 3.52/3.74 Clause #45 (by clausification #[44]): ∀ (a : Iota), Eq (f «$ki_local_world» (skS.0 1 «$ki_local_world» a)) False
% 3.52/3.74 Clause #46 (by superposition #[45, 31]): Eq False True
% 3.52/3.74 Clause #47 (by clausification #[46]): False
% 3.52/3.74 SZS output end Proof for theBenchmark.p
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